You can put this solution on YOUR website! graph the following....
5x-3y>15
3y < 5x-15
y < (5/3)x -5.
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1st: Graph the boundary, which is the Equality, as a dashed line:
5x-3y = 15
y = (5/3)x -5
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2nd: Shade the half-plane Below the boundary because
your problem calls for y Less Than (5/3)x-5
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The half-plane is the graph of the Inequality; the line is not
part of the solution.
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Cheers,
Stan H.